Stability analysis of an explicit integration algorithm with 3D viscoelastic artificial boundary elements
type: Item
instance of: scholarly article
title: Stability analysis of an explicit integration algorithm with 3D viscoelastic artificial boundary elements
zbMATH Open document ID: 1459.74085
DOI: 10.1155/2020/1848169
author: Shutao Li
author: Jingbo Liu
author: Xin Bao
author: Yifan Jia
author: Lan Xiao
author: Xigui Tao
author: Yicun Chen
author: Weifeng Zhang
published in: Mathematical Problems in Engineering
publication date: 2020-10-12T00:00:00Z
review text: Summary: Viscoelastic artificial boundary elements are one of the most commonly used artificial boundaries when solving dynamic soil-structure interactions or near-field wave propagation problems. However, due to the lack of clear and practical stability criteria for the explicit algorithm that considers the influence of viscoelastic artificial boundary elements, the determination of the stable time increment in such numerical analyses is still a challenge. In this study, we proposed a numerical stability analysis method for the explicit algorithm with a 3D viscoelastic artificial boundary element based on the idea of a subsystem. Through this method, the artificial boundary subsystem that controls the stability of the overall numerical system is determined, and the analytical solution for the stability condition of the explicit integration algorithm with 3D viscoelastic artificial boundary elements is obtained. On this basis, the maximum time increment for solving dynamic problems with viscoelastic artificial boundary elements can be determined.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 74S15
zbMATH DE Number: 7259574
describes a project that uses: ABAQUS
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/1848169
OpenAlex ID: W3081880547
cites work: Perfectly matched layers for time-harmonic second order elliptic problems
cites work: A unified viscous-spring artificial boundary for 3-D static and dynamic applications
cites work: Analysis of dynamic contact of cracks in viscoelastic media
cites work: Q3339435
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description: scientific article; zbMATH DE number 7259574